Graph Zn and some graphs related to Zn are determined by their spectrum Original Research Article

It is proved that graph Zn is determined by its adjacency spectrum as well as its Laplacian spectrum; Zn1+Zn2+cdots, three dots, centered+Znk is determined by its adjacency spectrum, where n1, n2, …, nk are integers at least 2; Wn is not determined by its adjacency spectrum but is determined by its Laplacian spectrum; kZn, Tn are determined by their Laplacian spectrum, respectively, where k is a positive integer.